is 2 3099203 - 1
has 932954 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP1F8A61BE444AA0FDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.521868.1159%30000001000000001.02247.4179%39.544270.4811%2.3651%
PrimeNet2600.049663.3333%120002200000.00292.5303%0.052464.2611%0.9278%
GPU722641.148565.6250%140002400000.00321.5070%1.151766.1430%0.5180%
Difference+5+37.3733+2.4909%+2986000+99760000+1.0192+5.9109%+38.3925+4.3380%+4.3380%

Known prime factors (1 factor, 76.0 bits, 0.00245165% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3099203745990123216238427181992375.98212035192970841833
3 × 13 × 308594691560047
2021-04-11133085946915600474,538.82,074,9223,875,377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T07:18:00Carsten Kossendeyleela15000180000---0.003--0.650%
2011-08-18T05:24:00harleeP4_26001000002125000---0.026--2.252%
2016-08-24T14:32:45Jocelyn LaroucheManual testing10000042500006---0.040--2.633%
2016-12-28T01:45:54Jocelyn Larouchelow 4M120000120000---0.015--0.827%
2017-01-19T17:19:10Jocelyn Larouchelow 4M156000156000---0.019--0.960%
2017-02-04T18:42:39Jocelyn Larouchelow 4M187200187200---0.023--1.060%
2017-02-16T04:19:47Jocelyn Larouchelow 4M22464022464006---0.041--2.630%
2017-03-09T21:04:03Jocelyn Larouchelow 4M26956826956806---0.050--2.824%
2018-06-11T03:50:48mikrMSI300000010000000012---1.022--7.418%
2022-02-20T22:18:45Jocelyn LaroucheManual testing1000000128282700---0.979--6.927%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-17T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-12T21:40:00Sturle Sundetristan.ifi260261--0.050--
2011-12-10T18:49:00Sid & AndyBuzz261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.317--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.633--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.206--
2015-06-11T22:04:00ThaManual testing265266--2.411--
2017-05-18T12:32:24Gordon SpenceManual testing266267--4.822--
2022-01-20T22:38:02Jocelyn LaroucheManual testing267268--9.64--
2018-08-19T20:55:21ramgeisManual testing267268--9.64--
2021-01-11T11:09:14TJAOIManual testing268269--19.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.307 GHz-days
Estimated T-Level:2.700
DigitsB1CurvesCompleteFacMiss
201100054 / 1000.54058.117%
255000054 / 2800.19382.432%

New Calculation Method

Total ECM effort:6.307 GHz-days
Estimated T-Level:2.700
DigitsB1CompleteFacMiss
20110001.74217.518%
25500000.15785.433%
302500000.01099.035%


ECM Summary

B1B2factorcurvesGHz-days
500005000000505.840
50000500000040.467


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16T00:00:00ANONYMOUSv4_computersAF257FD3859ACC__0.264


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-13T02:03:03Joe S.VMWare1
74599012321623842718199
1F8A61BE444AA0FDno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-20T22:18:45+00:00